Expected transmission count

Douglas S.J. De Couto was the first to describe ETX in his 2004 doctoral dissertation at MIT.[1] Subsequently, it has been implemented in RoofNet/Meraki and OLSR mesh networking protocols, among others.

In the context of the OLSR protocol,[2] a bidirectional link ETX was defined.

ETX is the number of expected transmissions of a packet necessary for it to be received without error at its destination. This number varies from one to infinity. An ETX of one indicates a perfect transmission medium, where an ETX of infinity represents a completely non-functional link. Note that ETX is an expected transmission count for a future event, as opposed to an actual count of a past event. It is hence a real number, and not an integer. For example, if it took 1898 transmissions to transfer 1024 packets without error, the ETX on the link is 1898/1024, or approximately 1.85. Due to varying characteristics of the transmission medium, the number may vary widely.

It is often useful to convert between ETX and the packet error probability ${\displaystyle e_{pt}}$:

$${\displaystyle \mathrm {ETX} ={\frac {1}{1-e_{pt}}}}$$

An equivalent relation is used for bidirectional links in the context of the OLSR protocol: ${\displaystyle ETX=1/(NLQ*LQ)}$ where NLQ is the Neighbor Link Quality of the link and LQ is its link quality. Thus, ${\displaystyle e_{pt}=1-NLQ*LQ}$.